Math 53: Multivariable Calculus (Fall 2009, UC Berkeley). This is a collection of video lectures on Multivariable Calculus given by Edward Frenkel, Professor of Mathematics at University of California, Berkeley.
FREE
This course includes
Hours of videos
694 years, 4 months
Units & Quizzes
25
Unlimited Lifetime access
Access on mobile app
Certificate of Completion
This course discusses essential topics in multivariable calculus, focusing on functions of two and three variables. Topics covered in this course include parametric curves, vectors in 2- and 3-dimensional spaces, partial derivatives, multiple integrals, vector calculus, Green's theorem, Stokes' theorem, and divergence theorem.
Course Currilcum
- Lecture 01 – Introduction, Parametric Curves Unlimited
- Lecture 02 – Parametric Curves, Calculus with Parametric Curves Unlimited
- Lecture 03 – Calculus with Parametric Curves, Polar Coordinates Unlimited
- Lecture 04 – Coordinates and Vectors in 3 Dimensions Unlimited
- Lecture 05 – Dot and Cross Products, Lines and Planes in 3D Space Unlimited
- Lecture 06 – More Complicated Surfaces in 3D Space, Parametric Curves in 3D Space Unlimited
- Lecture 07 – Vector-valued Functions, Functions in Two and Three Variables Unlimited
- Lecture 08 – Limits, Partial Derivatives Unlimited
- Lecture 09 – Differentials in one and two variables, Tangent Planes and differentiability Unlimited
- Lecture 10 – Review Unlimited
- Lecture 11 – Directional Derivatives, Gradient Vector Unlimited
- Lecture 12 – Applications of Directional Derivatives, Local Maxima and Minima Unlimited
- Lecture 13 – Maxima and Minima, Lagrange multipliers Unlimited
- Lecture 14 – Maxima and Minima, Multiple Integrals over Rectangles Unlimited
- Lecture 15 – Multiple Integrals in Cylindrical and Spherical Coordinate Systems Unlimited
- Lecture 16 – Multiple Integrals over General Regions, Change of Variables Unlimited
- Lecture 17 – Review Unlimited
- Lecture 18 – General Domains: “Curved”, Vector Fields, Line Integrals Unlimited
- Lecture 19 – Line Integrals Unlimited
- Lecture 20 – Line Integrals, Green’s Theorem Unlimited
- Lecture 21 – Intro to Stokes’ Theorem, Curl, Divergence Unlimited
- Lecture 22 – Surface Integrals, Parametric Surfaces Unlimited
- Lecture 23 – Stokes’ Theorem Unlimited
- Lecture 24 – Divergence Theorem Unlimited
- Lecture 25 – Review Unlimited
